Embedding \(\ell_ p^ k\) in subspaces of \(L_ p\) for \(p>2\)

DOI10.1007/BF02773788zbMath0753.46012MaRDI QIDQ1178330

Jean Bourgain, L. A. Tsafriri

Publication date: 26 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

vector basislemma of Slepianprobabilistic selection

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Subspaces of \(\ell^ N_ p\) of small codimension ⋮ Estimates of the weak distance between finite-dimensional Banach spaces

Cites Work

• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Invertibility of ``large submatrices with applications to the geometry of Banach spaces and harmonic analysis
• Large subspaces of \(\ell^n_\infty\) and estimates of the Gordon-Lewis constant
• A new class of \(L^ 1-\)spaces
• On uncomplemented subspaces of \(L_p\), \(1<p<2\)
• Finite dimensional subspaces of $L_{p}$
• Absolut p-summierende Abbildungen in normierten Räumen
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